Prüferv-Multiplication Domains andw-Multiplicative Canonical Ideals

DOI10.1080/00927872.2010.550901zbMath1245.13004OpenAlexW1968470048MaRDI QIDQ2888545

Mi Hee Park

Publication date: 1 June 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.550901

zbMATH Keywords

divisorial idealPrüfer v-multiplication domain\(w\)-Multiplicative canonical idealweakly Matlis domain

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

• On divisorial prime ideals in Prüfer v-multiplication domains
• Integral domains in which each t-ideal is divisorial
• Warfield domains
• \(w\)-divisorial domains
• Reflexive domains
• 1-dimensional Cohen-Macaulay rings
• On the ubiquity of Gorenstein rings
• On t-invertibility II
• Star-operations induced by overrings
• M-Canonical ideals in integral domains
• Divisorial domains
• Two star-operations and their induced lattices
• Integral domains in which each non‐zero ideal is divisorial

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